a toaster draws a current of 13.0A and has an electric potential difference of 120.V. For how long must it remain on to use 2.0x10^5J of electrical energy?
Power = amps * volts in watts
power * time = energy
13 * 120 * t = 200,000 Joules
t is in seconds
To calculate the time required for the toaster to use a certain amount of electrical energy, you can use the formula:
Electrical Energy = Power x Time
The power (P) can be calculated using the formula:
Power = Current x Electric Potential Difference
Given that the current (I) is 13.0 A and the electric potential difference (V) is 120 V, we can calculate the power:
Power = 13.0 A x 120 V
Power = 1560 W
Now, let's substitute the known values into the formula:
Electrical Energy = Power x Time
2.0x10^5 J = 1560 W x Time
Solving for Time:
Time = Electrical Energy / Power
Time = (2.0x10^5 J) / (1560 W)
Now, divide the energy by the power to find the time required:
Time = 128.21 seconds
Therefore, the toaster must remain on for approximately 128.21 seconds to use 2.0x10^5 J of electrical energy.